sqrt(3x^3+2x^2+2)+sqrt(-3x^3+x^2+2x-1)=2(x^2+x+1)

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Solution for sqrt(3x^3+2x^2+2)+sqrt(-3x^3+x^2+2x-1)=2(x^2+x+1) equation: 


Simplifying
sqrt(3x3 + 2x2 + 2) + sqrt(-3x3 + x2 + 2x + -1) = 2(x2 + x + 1)

Reorder the terms:
qrst(2 + 2x2 + 3x3) + sqrt(-3x3 + x2 + 2x + -1) = 2(x2 + x + 1)
(2 * qrst + 2x2 * qrst + 3x3 * qrst) + sqrt(-3x3 + x2 + 2x + -1) = 2(x2 + x + 1)
(2qrst + 2qrstx2 + 3qrstx3) + sqrt(-3x3 + x2 + 2x + -1) = 2(x2 + x + 1)

Reorder the terms:
2qrst + 2qrstx2 + 3qrstx3 + qrst(-1 + 2x + x2 + -3x3) = 2(x2 + x + 1)
2qrst + 2qrstx2 + 3qrstx3 + (-1 * qrst + 2x * qrst + x2 * qrst + -3x3 * qrst) = 2(x2 + x + 1)
2qrst + 2qrstx2 + 3qrstx3 + (-1qrst + 2qrstx + qrstx2 + -3qrstx3) = 2(x2 + x + 1)

Reorder the terms:
2qrst + -1qrst + 2qrstx + 2qrstx2 + qrstx2 + 3qrstx3 + -3qrstx3 = 2(x2 + x + 1)

Combine like terms: 2qrst + -1qrst = 1qrst
1qrst + 2qrstx + 2qrstx2 + qrstx2 + 3qrstx3 + -3qrstx3 = 2(x2 + x + 1)

Combine like terms: 2qrstx2 + qrstx2 = 3qrstx2
1qrst + 2qrstx + 3qrstx2 + 3qrstx3 + -3qrstx3 = 2(x2 + x + 1)

Combine like terms: 3qrstx3 + -3qrstx3 = 0
1qrst + 2qrstx + 3qrstx2 + 0 = 2(x2 + x + 1)
1qrst + 2qrstx + 3qrstx2 = 2(x2 + x + 1)

Reorder the terms:
1qrst + 2qrstx + 3qrstx2 = 2(1 + x + x2)
1qrst + 2qrstx + 3qrstx2 = (1 * 2 + x * 2 + x2 * 2)
1qrst + 2qrstx + 3qrstx2 = (2 + 2x + 2x2)

Solving
1qrst + 2qrstx + 3qrstx2 = 2 + 2x + 2x2

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Reorder the terms:
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 2 + 2x + 2x2 + -2 + -2x + -2x2

Reorder the terms:
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 2 + -2 + 2x + -2x + 2x2 + -2x2

Combine like terms: 2 + -2 = 0
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 0 + 2x + -2x + 2x2 + -2x2
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 0 + 2x2 + -2x2
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2 + 1qrst + 2qrstx + 3qrstx2 + -2x + -2x2 = 0

The solution to this equation could not be determined.

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